Q: What are the factor combinations of the number 20,707,283?

 A:
Positive:   1 x 2070728319 x 1089857653 x 317111669 x 12407
Negative: -1 x -20707283-19 x -1089857-653 x -31711-1669 x -12407


How do I find the factor combinations of the number 20,707,283?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 20,707,283, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 20,707,283
-1 -20,707,283

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,707,283.

Example:
1 x 20,707,283 = 20,707,283
and
-1 x -20,707,283 = 20,707,283
Notice both answers equal 20,707,283

With that explanation out of the way, let's continue. Next, we take the number 20,707,283 and divide it by 2:

20,707,283 ÷ 2 = 10,353,641.5

If the quotient is a whole number, then 2 and 10,353,641.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,707,283
-1 -20,707,283

Now, we try dividing 20,707,283 by 3:

20,707,283 ÷ 3 = 6,902,427.6667

If the quotient is a whole number, then 3 and 6,902,427.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,707,283
-1 -20,707,283

Let's try dividing by 4:

20,707,283 ÷ 4 = 5,176,820.75

If the quotient is a whole number, then 4 and 5,176,820.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,707,283
-1 20,707,283
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1196531,66912,40731,7111,089,85720,707,283
-1-19-653-1,669-12,407-31,711-1,089,857-20,707,283

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,707,283:


Ask a Question